从熵中提取更多信息
Extracting more information from entropy
AI总结:
本研究从全息计算的熵密度中提取最低准正态模式的复频率,发现阶梯熵的增长率与该模式衰减率的两倍关系,提出编码模型并扩展至有限温度等介质特性,揭示耗散通道的转变规律。
摘要:
我们从热力学平衡附近通过全息计算得到的熵密度中提取了最低准正态模式的复频率。该系统由纯热超对称杨-米尔斯N=4等离子体组成,处于均匀各向同性化动力学过程中。初始状态远离平衡,随时间向热化发展。系统演化至平衡熵时形成阶梯模式。分析表明,阶梯的增长率是最低准正态模式衰减率的两倍。这促使我们提出一个模型,解释该信息如何编码在熵中。模型被扩展以考虑介质的有限温度、R荷密度和标量凝聚,揭示了一个额外特征:根据化学势,系统的主要耗散通道可能转变为标量凝聚驱动的通道。
英文摘要:
We extract the complex frequency of the lowest quasi-normal mode from the holographically computed entropy density near thermodynamic equilibrium. The system consists of a purely thermal Supersymmetric Yang-Mills N=4 plasma in homogeneous isotropization dynamics. The initial state is far-from-equilibrium, proceeding to thermalization over time. The system evolves to equilibrium entropy forming a stairway pattern. The analysis reveals that the rate of increase of the stairway is twice the decay rate of the lowest quasi-normal mode. This leads us to propose a model explaining how this information is encoded in entropy. The model is extended to consider finite temperature, R-charge density and scalar condensate of the medium, disclosing an additional feature. The system's main dissipation channel may shift to one driven by the scalar condensate, depending on the chemical potential.
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